Category Theory For Programmers New Edition Hardcover

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Category Theory for Programmers (New Edition, Hardcover)

Bartosz Milewski
Category Theory for Programmers New Edition Hardcover Book PDF

Author : Bartosz Milewski
Publisher : Unknown
Page : 128 pages
File Size : 55,8 Mb
Release : 2019-08-24
Category : Electronic
ISBN : 0464243874

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Category Theory for Programmers (New Edition, Hardcover) by Bartosz Milewski Pdf

Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.

Basic Category Theory for Computer Scientists

Benjamin C. Pierce
Basic Category Theory for Computer Scientists Book PDF

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 117 pages
File Size : 44,9 Mb
Release : 1991-08-07
Category : Computers
ISBN : 9780262326452

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Basic Category Theory for Computer Scientists by Benjamin C. Pierce Pdf

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

An Invitation to Applied Category Theory

Brendan Fong,David I. Spivak
An Invitation to Applied Category Theory Book PDF

Author : Brendan Fong,David I. Spivak
Publisher : Cambridge University Press
Page : 351 pages
File Size : 44,7 Mb
Release : 2019-07-18
Category : Computers
ISBN : 9781108482295

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An Invitation to Applied Category Theory by Brendan Fong,David I. Spivak Pdf

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

Category Theory for Programmers (Scala Edition, Paperback)

Bartosz Milewski
Category Theory for Programmers Scala Edition Paperback Book PDF

Author : Bartosz Milewski
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 2019-08-12
Category : Electronic
ISBN : 0464183642

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Category Theory for Programmers (Scala Edition, Paperback) by Bartosz Milewski Pdf

This is the Scala edition of Category Theory for Programmers by Bartosz Milewski. This book contains code snippets in both Haskell and Scala.

Universal Algebra, Algebraic Logic, and Databases

B. Plotkin
Universal Algebra Algebraic Logic and Databases Book PDF

Author : B. Plotkin
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401108201

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Universal Algebra, Algebraic Logic, and Databases by B. Plotkin Pdf

Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.

Categories, Types, and Structures

Andrea Asperti,Giuseppe Longo
Categories Types and Structures Book PDF

Author : Andrea Asperti,Giuseppe Longo
Publisher : MIT Press (MA)
Page : 330 pages
File Size : 42,5 Mb
Release : 1991
Category : Computers
ISBN : UOM:39015022019742

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Categories, Types, and Structures by Andrea Asperti,Giuseppe Longo Pdf

Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.

Programming Pearls

Jon Bentley
Programming Pearls Book PDF

Author : Jon Bentley
Publisher : Addison-Wesley Professional
Page : 262 pages
File Size : 55,6 Mb
Release : 2016-04-21
Category : Computers
ISBN : 9780134498034

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Programming Pearls by Jon Bentley Pdf

When programmers list their favorite books, Jon Bentley’s collection of programming pearls is commonly included among the classics. Just as natural pearls grow from grains of sand that irritate oysters, programming pearls have grown from real problems that have irritated real programmers. With origins beyond solid engineering, in the realm of insight and creativity, Bentley’s pearls offer unique and clever solutions to those nagging problems. Illustrated by programs designed as much for fun as for instruction, the book is filled with lucid and witty descriptions of practical programming techniques and fundamental design principles. It is not at all surprising that Programming Pearls has been so highly valued by programmers at every level of experience. In this revision, the first in 14 years, Bentley has substantially updated his essays to reflect current programming methods and environments. In addition, there are three new essays on testing, debugging, and timing set representations string problems All the original programs have been rewritten, and an equal amount of new code has been generated. Implementations of all the programs, in C or C++, are now available on the Web. What remains the same in this new edition is Bentley’s focus on the hard core of programming problems and his delivery of workable solutions to those problems. Whether you are new to Bentley’s classic or are revisiting his work for some fresh insight, the book is sure to make your own list of favorites.

A Practical Theory of Programming

Eric C.R. Hehner
A Practical Theory of Programming Book PDF

Author : Eric C.R. Hehner
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 40,9 Mb
Release : 2012-09-08
Category : Computers
ISBN : 9781441985965

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A Practical Theory of Programming by Eric C.R. Hehner Pdf

There are several theories of programming. The first usable theory, often called "Hoare's Logic", is still probably the most widely known. In it, a specification is a pair of predicates: a precondition and postcondition (these and all technical terms will be defined in due course). Another popular and closely related theory by Dijkstra uses the weakest precondition predicate transformer, which is a function from programs and postconditions to preconditions. lones's Vienna Development Method has been used to advantage in some industries; in it, a specification is a pair of predicates (as in Hoare's Logic), but the second predicate is a relation. Temporal Logic is yet another formalism that introduces some special operators and quantifiers to describe some aspects of computation. The theory in this book is simpler than any of those just mentioned. In it, a specification is just a boolean expression. Refinement is just ordinary implication. This theory is also more general than those just mentioned, applying to both terminating and nonterminating computation, to both sequential and parallel computation, to both stand-alone and interactive computation. And it includes time bounds, both for algorithm classification and for tightly constrained real-time applications.

Practical Foundations for Programming Languages

Robert Harper
Practical Foundations for Programming Languages Book PDF

Author : Robert Harper
Publisher : Cambridge University Press
Page : 513 pages
File Size : 41,7 Mb
Release : 2016-04-04
Category : Computers
ISBN : 9781107150300

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Practical Foundations for Programming Languages by Robert Harper Pdf

This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.

Categories and Computer Science

R. F. C. Walters,Richard F. Walters
Categories and Computer Science Book PDF

Author : R. F. C. Walters,Richard F. Walters
Publisher : Cambridge University Press
Page : 180 pages
File Size : 43,7 Mb
Release : 1991
Category : Computers
ISBN : 0521422264

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Categories and Computer Science by R. F. C. Walters,Richard F. Walters Pdf

Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.

Exercises for Programmers

Brian P. Hogan
Exercises for Programmers Book PDF

Author : Brian P. Hogan
Publisher : Pragmatic Bookshelf
Page : 123 pages
File Size : 46,6 Mb
Release : 2015-09-04
Category : Computers
ISBN : 9781680503487

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Exercises for Programmers by Brian P. Hogan Pdf

When you write software, you need to be at the top of your game. Great programmers practice to keep their skills sharp. Get sharp and stay sharp with more than fifty practice exercises rooted in real-world scenarios. If you're a new programmer, these challenges will help you learn what you need to break into the field, and if you're a seasoned pro, you can use these exercises to learn that hot new language for your next gig. One of the best ways to learn a programming language is to use it to solve problems. That's what this book is all about. Instead of questions rooted in theory, this book presents problems you'll encounter in everyday software development. These problems are designed for people learning their first programming language, and they also provide a learning path for experienced developers to learn a new language quickly. Start with simple input and output programs. Do some currency conversion and figure out how many months it takes to pay off a credit card. Calculate blood alcohol content and determine if it's safe to drive. Replace words in files and filter records, and use web services to display the weather, store data, and show how many people are in space right now. At the end you'll tackle a few larger programs that will help you bring everything together. Each problem includes constraints and challenges to push you further, but it's up to you to come up with the solutions. And next year, when you want to learn a new programming language or style of programming (perhaps OOP vs. functional), you can work through this book again, using new approaches to solve familiar problems. What You Need: You need access to a computer, a programming language reference, and the programming language you want to use.

Elements of Functional Programming

Chris Reade
Elements of Functional Programming Book PDF

Author : Chris Reade
Publisher : Addison Wesley Publishing Company
Page : 624 pages
File Size : 44,8 Mb
Release : 1989
Category : Computers
ISBN : UOM:39015047355287

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Elements of Functional Programming by Chris Reade Pdf

Software -- Programming Techniques.

Computational Semantics with Functional Programming

Jan van Eijck,Christina Unger
Computational Semantics with Functional Programming Book PDF

Author : Jan van Eijck,Christina Unger
Publisher : Cambridge University Press
Page : 422 pages
File Size : 51,7 Mb
Release : 2010-09-23
Category : Language Arts & Disciplines
ISBN : 9781139490900

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Computational Semantics with Functional Programming by Jan van Eijck,Christina Unger Pdf

Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.

Category Theory for the Sciences

David I. Spivak
Category Theory for the Sciences Book PDF

Author : David I. Spivak
Publisher : MIT Press
Page : 495 pages
File Size : 51,6 Mb
Release : 2014-10-17
Category : Mathematics
ISBN : 9780262320535

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Category Theory for the Sciences by David I. Spivak Pdf

An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs—categories in disguise. After explaining the “big three” concepts of category theory—categories, functors, and natural transformations—the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.

Types and Programming Languages

Benjamin C. Pierce
Types and Programming Languages Book PDF

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 646 pages
File Size : 53,9 Mb
Release : 2002-01-04
Category : Computers
ISBN : 9780262303828

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Types and Programming Languages by Benjamin C. Pierce Pdf

A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.